31181241168 has 640 divisors, whose sum is σ = 115253575680. Its totient is φ = 7903526400.

The previous prime is 31181241163. The next prime is 31181241199. The reversal of 31181241168 is 86114218113.

31181241168 is a `hidden beast` number, since 3 + 1 + 181 + 2 + 411 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31181241163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245521521 + ... + 245521647.

It is an arithmetic number, because the mean of its divisors is an integer number (180083712).

Almost surely, 2^31181241168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31181241168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57626787840).

31181241168 is an abundant number, since it is smaller than the sum of its proper divisors (84072334512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31181241168 is a wasteful number, since it uses less digits than its factorization.

31181241168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The spelling of 31181241168 in words is "thirty-one billion, one hundred eighty-one million, two hundred forty-one thousand, one hundred sixty-eight".